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424412043132 = 223721181180909
BaseRepresentation
bin1100010110100001110…
…11011101011101111100
31111120111000010122121110
412023100323131131330
523423143440340012
6522545555002020
742443216562300
oct6132073353574
91446430118543
10424412043132
11153aa0596760
126a306899310
133103910478c
1416782419d00
15b08eb7b73c
hex62d0edd77c

424412043132 has 144 divisors (see below), whose sum is σ = 1258265715840. Its totient is φ = 110099606400.

The previous prime is 424412043109. The next prime is 424412043161. The reversal of 424412043132 is 231340214424.

It is a self number, because there is not a number n which added to its sum of digits gives 424412043132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5205094 + ... + 5286002.

It is an arithmetic number, because the mean of its divisors is an integer number (8737956360).

Almost surely, 2424412043132 is an apocalyptic number.

424412043132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424412043132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629132857920).

424412043132 is an abundant number, since it is smaller than the sum of its proper divisors (833853672708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424412043132 is a wasteful number, since it uses less digits than its factorization.

424412043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81752 (or 81743 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 424412043132 its reverse (231340214424), we get a palindrome (655752257556).

The spelling of 424412043132 in words is "four hundred twenty-four billion, four hundred twelve million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 811 924 1078 1617 1622 2156 2433 3234 3244 4866 5677 6468 8921 9732 11354 17031 17842 22708 26763 34062 35684 39739 53526 62447 68124 79478 80909 107052 119217 124894 158956 161818 187341 238434 242727 249788 323636 374682 437129 476868 485454 566363 749364 874258 889999 970908 1132726 1311387 1699089 1748516 1779998 2265452 2622774 2669997 3398178 3559996 3964541 5245548 5339994 6229993 6796356 7929082 10679988 11893623 12459986 15858164 18689979 23787246 24919972 37379958 43609951 47574492 65617199 74759916 87219902 130829853 131234398 174439804 196851597 261659706 262468796 393703194 459320393 523319412 721789189 787406388 918640786 1377961179 1443578378 1837281572 2165367567 2755922358 2887156756 3215242751 4330735134 5052524323 5511844716 6430485502 8661470268 9645728253 10105048646 12860971004 15157572969 19291456506 20210097292 30315145938 35367670261 38582913012 60630291876 70735340522 106103010783 141470681044 212206021566 424412043132